a. The scale factor by which we should magnify the paramecium is 10 cm/mm.
b. The scale factor by which we should magnify the paramecium is 150 cm/mm.
c. The approximate scale factor by which the paramecium has been enlarged to make the image shown is 25 cm/mm.
a. To make a photograph of the original paramecium so that its image is 1 centimeter long, we need to find the scale factor by which we should magnify it. We are given that the magnified paramecium shown is actually one-tenth of a millimeter long. Therefore, we need to multiply the original length by a factor of 10 to get a length of 1 centimeter. The scale factor is:
1cm/0.1mm = 10cm/mm
Therefore, the scale factor by which we should magnify the paramecium is 10 cm/mm.
b. To make a photograph of the original paramecium so that its image is 15 centimeters long, we need to find the scale factor by which we should magnify it. We are given that the magnified paramecium shown is actually one-tenth of a millimeter long. Therefore, we need to multiply the original length by a factor of 150 to get a length of 15 centimeters. The scale factor is:
15cm/0.1mm = 150cm/mm
Therefore, the scale factor by which we should magnify the paramecium is 150 cm/mm.
c. To find the approximate scale factor by which the paramecium has been enlarged to make the image shown, we need to estimate the length of the magnified paramecium. From the image, we can see that the paramecium is approximately 2.5 centimeters long. Therefore, the scale factor is:
2.5cm/0.1mm = 25cm/mm
Therefore, the approximate scale factor by which the paramecium has been enlarged to make the image shown is 25 cm/mm.